Finding the Third Proportional to 71,835 and 113,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,835 : 113,689.50 = 113,689.50 : x
2. Step 2: Convert to fraction form
   71,835/113,689.50 = 113,689.50/x
3. Step 3: Cross multiply
   71,835x = 113,689.50 × 113,689.50
4. Step 4: Simplify right side
   71,835x = 12,925,302,410.25
5. Step 5: Solve for x
   x = 12,925,302,410.25/71,835
6. Step 6: Final answer
   x = 179,930.43